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Finding the Fourth Proportional to 6,421.47, 8,861.16 and 3,768.51

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Solution

The fourth proportional to 6,421.47, 8,861.16 and 3,768.51 is: 5,200.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.47 : 8,861.16 = 3,768.51 : x
  2. Step 2: Convert to fraction form
    6,421.47/8,861.16 = 3,768.51/x
  3. Step 3: Cross multiply
    6,421.47x = 8,861.16 × 3,768.51
  4. Step 4: Simplify right side
    6,421.47x = 33,393,370.07
  5. Step 5: Solve for x
    x = 33,393,370.07/6,421.47
  6. Step 6: Final answer
    x = 5,200.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.